To move one way and the other so as to get a close place; to lie close for comfort; to cuddle; to nestle.

move or arrange oneself in a comfortable and cozy position; "We cuddled against each other to keep warm"; "The children snuggled into their sleeping bags"

position comfortably; "The baby nestled her head in her mother's elbow"

a close and affectionate (and often prolonged) embrace

a longish hug" and, wise words for wintry February, "Never hug tomorrow when you could hug today

(v.) The act of hugging someone closely, often involving intimate contact with the other party.